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Which of the following relation is a partial order as well as an equivalence relation?(a) equal to(=)(b) less than()(d) not equal to(!=)I have been asked this question by my school principal while I was bunking the class.This is a very interesting question from Graphs in chapter Graphs of Discrete Mathematics

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Right CHOICE is (a) equal to(=)

The explanation: The identity RELATION = on any SET is a partial ORDER in which every two distinct elements are incomparable and that depicts the relation of both a partial order and an EQUIVALENCE relation. For non-linear orders, there are many advanced properties of posets.



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